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Finding the Third Proportional to 680,440 and 1,464,884

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Solution

The third proportional to 680,440 and 1,464,884 is: 3,153,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,440 : 1,464,884 = 1,464,884 : x
  2. Step 2: Convert to fraction form
    680,440/1,464,884 = 1,464,884/x
  3. Step 3: Cross multiply
    680,440x = 1,464,884 × 1,464,884
  4. Step 4: Simplify right side
    680,440x = 2,145,885,133,456
  5. Step 5: Solve for x
    x = 2,145,885,133,456/680,440
  6. Step 6: Final answer
    x = 3,153,672.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.